Solving linear equations Collect the variable terms on one

Last updated: 8/13/2022

Solving linear equations Collect the variable terms on one side. Isolate the variable ➤ Check in the original equation. #2 Solve each equation for x. a) 2x - 5= 7-3(x + 1) Example: Solve 2 - 3(t - 2) = 5t Removing the parentheses: Combine like terms: Collect all variable terms on one side: Isolate the variable: Simplify Check: b) 2x + y = 3 2-3t+ 6 = 5t -3t+8 = 5t -3t-5t = -8 -8t = -8 -8t -8 -8 ⇒ t = 1 2-3(1-2) = 5(1) 2-3(-1) = 5 -8 2 + 3 = 5 true c) x-1= 5